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Finding the Fourth Proportional to 540.90, 809.82 and 334.95

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Solution

The fourth proportional to 540.90, 809.82 and 334.95 is: 501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 809.82 = 334.95 : x
  2. Step 2: Convert to fraction form
    540.90/809.82 = 334.95/x
  3. Step 3: Cross multiply
    540.90x = 809.82 × 334.95
  4. Step 4: Simplify right side
    540.90x = 271,249.21
  5. Step 5: Solve for x
    x = 271,249.21/540.90
  6. Step 6: Final answer
    x = 501.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.